A prism of angle $75^\circ$ and refractive index $\sqrt{3}$ is coated with thin film of refractive index $1.5$ only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be . . . . . . .
$(\sin 15^\circ = 0.25$ and $\sin 25^\circ = 0.43)$

  • A
    between $15^\circ$ and $20^\circ$
  • B
    $15^\circ$
  • C
    $> 25^\circ$
  • D
    $< 15^\circ$

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